The Solidarity Party has called on the Government to support a Bill to ban fur farming in Ireland.
Pressure is growing to eliminate fur farming after 14 EU member states banned the farming of mink and other wild animals.
The Prohibition of Fur Farming Bill will come before the Dáil on the 3 and 4 of July.
Speaking at a media conference today, Solidarity TD Ruth Coppinger, described fur farming as a "cruel and ailing" industry.
She said: "The Taoiseach should direct the Minister for Agriculture to ban the cruel caging of wild mink by ministerial order, as was done with the ban on wild animals in circuses two years ago."
Figures show the fur trade in Ireland has decreased in recent years.
CSO figures show that in 2013 mink skin exports from Ireland were worth €8.8 million compared to €1.8 million last year.
In Ireland, there are three fur farms located in Donegal, Kerry and Laois containing up to 200,000 mink.
CEO of the ISPCA, Dr Andrew Kelly, who supports the Bill, said fur farming is incompatible with the Government's animal welfare strategy and has no place in the modern world.
Speaking at today's media conference, he said the animals were killed in an inhumane manner by gassing with carbon monoxide.
"Farming wild animals for an unnecessary luxury product really is not acceptable in a modern and progressive Ireland and animal welfare is something that must be taken seriously."
Last month, Prada announced that it will ban fur from its women's wear products by February 2020, in response to years of urging to do so by animal rights activists.
The move was a significant one for the fashion industry, as the Italian luxury brand has long been considered one of the most influential and desired fashion houses in the world.